Geometry Triangle Proof Ideas

If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?

• AC≅PR

• BC≅QR

• <A≅<P

• <C≅<R

Which congruence is needed to prove ΔXYZ ≅ ΔJKL by SAS?

• XY ≅ JK

• ZY ≅ LK

• ∠X ≅ ∠J

• ∠Y ≅ ∠L

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• AAS

• Not Possible

How are these two triangles congruent?

• AAS

• ASA

• Not enough information

• SAS

Which triangle congruence theorem can be used to prove the triangles are congruent?

• HL

• SSA

• SAS

• AAS

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• AAA

• AAS

• ASA

• Not necessarily congruent

Congruent triangles have 3 congruent ______ and 3 congruent _____.

• sides and sides

• sides and angles

• angles and angles

• parts and triangles

When writing a proof, almost always start with ......

• the given

• transative property

• supplementary angles

• subtraction POE

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence